213738 has 24 divisors (see below), whose sum is σ = 497952. Its totient is φ = 60984.

The previous prime is 213737. The next prime is 213751. The reversal of 213738 is 837312.

213738 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213738.

It is not an unprimeable number, because it can be changed into a prime (213737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2²¹³⁷³⁸ is an apocalyptic number.

213738 is an abundant number, since it is smaller than the sum of its proper divisors (284214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213738 is a wasteful number, since it uses less digits than its factorization.

213738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 739 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 213738 is about 462.3180723268. The cubic root of 213738 is about 59.7898201558.

The spelling of 213738 in words is "two hundred thirteen thousand, seven hundred thirty-eight".